Double lacunary density and some inclusion results in locally solid Riesz spaces
type: Item
instance of: scholarly article
title: Double lacunary density and some inclusion results in locally solid Riesz spaces
zbMATH Open document ID: 1306.40005
DOI: 10.1155/2013/507962
author: Bipan Hazarika
author: S. A. Mohiuddine
author: Abdullah Alotaibi
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We define the notions of double statistically convergent and double lacunary statistically convergent sequences in locally solid Riesz spaces and establish some inclusion relations between them. We also prove an extension of a decomposition theorem in this setup. Further, we introduce the concepts of double \(\theta \)-summable and double statistically lacunary summable in locally solid Riesz space and establish a relationship between these notions.
Mathematics Subject Classification ID: 40A35
Mathematics Subject Classification ID: 40J05
zbMATH DE Number: 6306955
zbMATH Keywords: double lacunary statistically convergent sequence
zbMATH Keywords: locally solid Riesz space
Wikidata QID: Q58916950
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/507962
OpenAlex ID: W2031778285
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description: scientific article; zbMATH DE number 6306955